A Three-by-Three Value
In a zero-sum game, the row player chooses a row and the column player chooses a column, simultaneously. The entries give the row player's payoff (the column player pays that amount): Row 1: 2, −1, 5 Row 2: −4, 5, −1 Row 3: 6, −1, −1 Both players use optimal mixed strategies. What is the value of the game to the row player? Give a reduced fraction.
Related problems & prerequisites
Worth solving first
- Solve the Matrix 5.0/10
- Matching Pennies 5.0/10
Source: Standard zero-sum matrix game exercise; matrix original to AxiomIQ.